The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate

Radjesvarane Alexandre Y Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431005

Preprint HAL, http://hal. archives-ouvertes. fr/hal-00477662/fr
It is known that the singularity in the non-cutoff cross-section of the Boltzmann equation leads to the gain of regularity and gain of weight in the velocity variable. By defining and analyzing a non-isotropy norm which precisely captures the dissipation in the linearized collision operator, we give a new and precise coercivity estimate for the non-cutoff Boltzmann equation for general physical cross sections.
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@inproceedings{radjesvaranethe,
  title={The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate},
  author={Radjesvarane Alexandre, Y Morimoto, Seiji Ukai, Chao-Jiang Xu, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211158066765569},
  booktitle={Preprint HAL, http://hal. archives-ouvertes. fr/hal-00477662/fr},
}
Radjesvarane Alexandre, Y Morimoto, Seiji Ukai, Chao-Jiang Xu, and Tong Yang. The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate. In Preprint HAL, http://hal. archives-ouvertes. fr/hal-00477662/fr. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211158066765569.
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